Design of H∞ Feedback Control Systems with Quantized Signals

In this paper, we consider design of H∞ feedback control systems with quantized signals. We first assume that a state feedback has been designed for a continuous-time LTI system so that the closed-loop system is (Hurwitz) stable and a desired H∞ disturbance attenuation level is achieved, and that the states are quantized before they are passed to the controller. We propose a statedependent strategy for updating the quantizer’s parameter, so that the system is asymptotically stable and achieves the same H∞ disturbance attenuation level. We then extend the result to the case of observer-based dynamic output feedback where the measurement outputs are quantized, and propose an output-dependent strategy for updating the quantizer’s parameter. Copyright c © 2005 IFAC